# Find all

Find all right-angled triangles whose side lengths form an arithmetic sequence.

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**Dr Math**

there are infinity solutions. for leg lenght a, difference AP is a/3. So right triangle has sides: a, a+a/3, a+2/3a

So all triangles are similar to triangle 3-4-5 and has length of sides: a ; 4/3 a ; 5/3*a

So all triangles are similar to triangle 3-4-5 and has length of sides: a ; 4/3 a ; 5/3*a

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